The relationship between size and power dissipation in a 1-10 MHz transformer

The trade-off between size and power dissipation in the design of low-profile 1-10 MHz transformers with planar spiral windings is considered. For a fixed power loss and number of conductor layers, the transformer with the smallest possible footprint can be designed by a trade-off of core and copper loss. The relationship between the marginal reduction of the transformer footprint and the associated marginal increase in power dissipation and/or number of conductor layers for the design of the smallest possible transformer is discussed.>